Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces

  • Nan-Kuo Ho, Chiu-Chu Melissa Liu
  • Journal:
    Canadian Journal of Mathematics / Volume 56 / Issue 6 / 01 December 2004
    Published online by Cambridge University Press:
    20 November 2018, pp. 1228-1236
    Print publication:
    01 December 2004
    • Article
      • You have access
    • PDF
    • Export citation

  • We study the connectedness of the moduli space of gauge equivalence classes of flat $G$-connections on a compact orientable surface or a compact nonorientable surface for a class of compact connected Lie groups. This class includes all the compact, connected, simply connected Lie groups, and some non-semisimple classical groups.

  • The Hausdorff Completion of the Space of Closed Subsets of a Module

  • E. W. Johnson, Johnny A. Johnson
  • Journal:
    Canadian Mathematical Bulletin / Volume 38 / Issue 3 / 01 September 1995
    Published online by Cambridge University Press:
    20 November 2018, pp. 325-329
    Print publication:
    01 September 1995
    • Article
      • You have access
    • PDF
    • Export citation

  • In this paper, we show that the lattice of closed subsets of the completion, in the Jacobson radical topology, of a finitely generated module M is isomorphic to the completion, under the Hausdorff topology, of the lattice of closed subsets of M. This extends submodule-theoretic results for complete modules to modules satisfying Chevalley's Theorem. We show that the lattice of submodules of every finitely generated module over a semi-local ring R is complete in the Hausdorff topology if and only if R is complete in the Jacobson radical topology.